Newman expertly breaks down complex constraints into a clear, logical flow that makes high-level deduction feel intuitive. This walkthrough is a perfect example of how systematic thinking can turn a daunting puzzle into an elegant exercise.
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GAS Sudoku Walkthrough - Less Taxing Math by Philip Newman (2026-04-15)Added:
Good morning my friends. I'm Clover. Uh this This is Benny.
And today we are solving less taxing math by Philip Newman. Oh, this is This is genuinely approachable Sudoku, by the way, in case you knew here.
Um this is a killer Kropki pair Sudoku.
So we have normal Sudoku rules, meaning that we're placing the digits 1 through 9 once each in each row, each column, and each outlined 3 by 3 region.
And on top of that, there are some dashed outline cages in the grid. Each of those cages has a clue in its top left corner, and the clue tells you what the digits in the cage have to sum to.
And then there are also some black dots and some white dots in the grid.
Wherever you see a white dot, the two surrounding digits are consecutive, and wherever you see a black dot, the two surrounding digits are in a 1 to 2 ratio. In other words, one of them is twice as large as the other.
And that's it. So let's solve.
So I'm going to start up here with this three cage because it's always one and two.
Nine would normally be either four and five or three and six, but the two digit digits have to be in a 1 to 2 ratio, so that's three and six. That means the 15 can't be 6 + 9, so it's 7 + 8.
Seven isn't in a 1 to 2 ratio with any other Sudoku digits. That's going to be an eight, making this a four and a nine, and our last digit in the in the row is a five.
Now this has to be consecutive, so this guy can't be a one because that would mean we had two twos in the region. So that's going to be a two three four, and our last digit in the 15 cage is going to be an eight.
Four is in the ratio with a two or an eight, and there's already a two in the region. So that's going to be an eight.
Those have to be seven and nine to finish the 24 cage.
The three in the 15 cage makes this a six, and then these are from 5 7 or 9.
All right. Now our remaining digits are going to sum 1 5 6 and 7 and 9. So that is a total of 5 6 and 7 is 18 + 1 is 19, so that's a total of 28. These have to sum to 19, so the missing digit is nine.
And this has to be either six or eight, and there's already a six in the column, so that's going to be an eight, making this a four.
These will be our 5 6 and 7 like that, and then there's our one, which tells us how this resolves.
2 + 4 is 6, so to finish off to go to 14, we have to place an eight.
Now these three um three digits that are all in a 1 to 2 ratio can't can either be 1 2 4 or 2 4 8. 2 + 4 + 8 is way too big to be a 12 cage, so that's going to be a 1 2 4, making our last digit a five.
Five is consecutive with four and six.
There's a four there, so that's going to be 5 6 7. 6 + 7 is 13. To make 16, we add a three. That's a nine.
These guys have to be 6 7 and 8.
Like that, and then that's going to be a three with a two to sum to five.
Our last two consecutive digits are going to be five and six, and then we have a one right there.
Seven is consecutive with eight, which makes this cell a four.
These are going to be one and nine.
4 + 8 is 12, and so I need a nine here.
There's a seven in that region, so that's nine, that's seven.
Seven will always be 1 2 and 4.
This cell can't be two or four because those are already in the row, so that's a one. It's in a 1 to 2 ratio with a two, and then that's a four.
These are going to be 2 6 and 8. Neither of these can be eight by Sudoku.
So that'll be my eight.
Um in this cage Well, actually we can't quite do that just yet, not easily anyways. So these are going to be 1 2 3 4. One can't be in those cells, so that's a one. Four can't be in those cells, so there's a four, three, and two.
These are going to be 3 5 6 and 9 to finish their region. Those can't be threes, that can't be a six.
These are going to be 3 7 and 8, and these are going to be 2 and 5, which resolve.
That can't be three or eight, so that's a seven. These sum to 12, that must be a six.
Eight and a three there.
Five to finish off this column, so we eliminate five from here. We also eliminate six from here.
And that finishes the left part of the grid.
To finish this row, we're going to need a seven and a six, which will go like that.
And here we need a three and a five to finish the region.
We need 1 2 3 and 9 to finish this region.
This can't be three or nine.
And that finishes the right half of the grid, and then classic Sudoku should take us home. We still need a one and a seven there and there.
And that is how you solve Philip Newman's less taxing math.
Hope you guys liked that one. The link to solve it yourself is in the description of this video, and I will see you again in three days.
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